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Finding the Fourth Proportional to 399,460.32, 599,024.16 and 162,642.24

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Solution

The fourth proportional to 399,460.32, 599,024.16 and 162,642.24 is: 243,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,460.32 : 599,024.16 = 162,642.24 : x
  2. Step 2: Convert to fraction form
    399,460.32/599,024.16 = 162,642.24/x
  3. Step 3: Cross multiply
    399,460.32x = 599,024.16 × 162,642.24
  4. Step 4: Simplify right side
    399,460.32x = 97,426,631,196.52
  5. Step 5: Solve for x
    x = 97,426,631,196.52/399,460.32
  6. Step 6: Final answer
    x = 243,895.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.